Covid-19 Data Analysis in Tarakan with Poisson Regression and Spatial Poisson Process

A. Sofro, Ika Nurwanitantya Wardani, K. N. Khikmah
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Abstract

COVID-19 entered Indonesia in March 2020 and included North Kalimantan Province, Tarakan. COVID-19 cases have outspread in Tarakan. The cause of the outspread and the patterns were not known yet. One relevant approach was to use Generalized Linear Models. The two methods are Poisson Regression and Stochastic with Spatial Poisson Process. The variables used were rainfall, population density, and temperature in each village in Tarakan. The Poisson Regression analysis founds that only one factor affected temperature. Then, the results were refined with the Spatial Poisson Process, where in addition to the influencing factors also, the distribution patterns are obtained. The analysis showed that the pattern of case distribution was included in the non-homogeneous Poisson process criteria. Then the model of the case density intensity was obtained using regression. From the model, it was known that the covariate variables significantly influence rainfall and temperature. Compared with general Poisson regression analysis, the results showed that only the average temperature variables had a significant effect. Thus, a better method was used, namely the Spatial Poisson Process. It was also shown by the two models' AIC values, where the AIC value of the Spatial Poisson Process model was smaller than the Poisson Regression.
基于泊松回归和空间泊松过程的Tarakan地区新冠肺炎数据分析
2019冠状病毒病于2020年3月进入印度尼西亚,包括塔拉干北加里曼丹省。COVID-19病例已在达拉干蔓延。蔓延的原因和模式尚不清楚。一个相关的方法是使用广义线性模型。两种方法分别是泊松回归和随机空间泊松过程。使用的变量是达拉干每个村庄的降雨量、人口密度和温度。泊松回归分析发现只有一个因素影响温度。然后,利用空间泊松过程对结果进行细化,得到了影响因子的分布格局。分析表明,非齐次泊松过程准则中包含了病例分布模式。然后用回归方法得到病例密度强度模型。从模型可知,协变量对降雨量和温度有显著影响。与一般泊松回归分析相比,结果表明只有平均温度变量有显著影响。因此,采用了一种更好的方法,即空间泊松过程。两种模型的AIC值也表明了这一点,其中空间泊松过程模型的AIC值小于泊松回归。
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